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Finding the Third Proportional to 33,244 and 72,026

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Solution

The third proportional to 33,244 and 72,026 is: 156,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,244 : 72,026 = 72,026 : x
  2. Step 2: Convert to fraction form
    33,244/72,026 = 72,026/x
  3. Step 3: Cross multiply
    33,244x = 72,026 × 72,026
  4. Step 4: Simplify right side
    33,244x = 5,187,744,676
  5. Step 5: Solve for x
    x = 5,187,744,676/33,244
  6. Step 6: Final answer
    x = 156,050.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.